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Finding the Fourth Proportional to 523.73, 784.38 and 263.32

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Solution

The fourth proportional to 523.73, 784.38 and 263.32 is: 394.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.73 : 784.38 = 263.32 : x
  2. Step 2: Convert to fraction form
    523.73/784.38 = 263.32/x
  3. Step 3: Cross multiply
    523.73x = 784.38 × 263.32
  4. Step 4: Simplify right side
    523.73x = 206,541.97
  5. Step 5: Solve for x
    x = 206,541.97/523.73
  6. Step 6: Final answer
    x = 394.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.